Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1492, 1500 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1492 and 1500 is 4.
GCF(1492,1500) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1492
2 | 1492 |
2 | 746 |
373 | 373 |
1 |
Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:
1492 = 22×3731
Prime Factorization of 1500
2 | 1500 |
2 | 750 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 1500 are 2,3,5. Prime factorization of 1500 in exponential form is:
1500 = 22×31×53
∴ So by taking common prime factors GCF of 1492 and 1500 is 4
Factors of 1492
List of positive integer factors of 1492 that divides 1492 without a remainder.
1,2,4,373,746,1492
Factors of 1500
List of positive integer factors of 1500 that divides 1500 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors and prime factorization of 1492 and 1500. The biggest common factor number is the GCF number.
So the greatest common factor 1492 and 1500 is 4.
Also check out the Least Common Multiple of 1492 and 1500
(i) The GCF of 1492 and 1500 is associative
GCF of 1492 and 1500 = GCF of 1500 and 1492
1. What is the GCF of 1492 and 1500?
Answer: GCF of 1492 and 1500 is 4.
2. What are the Factors of 1492?
Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.
3. What are the Factors of 1500?
Answer: Factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. There are 24 integers that are factors of 1500. The greatest factor of 1500 is 1500.
4. How to Find the GCF of 1492 and 1500?
Answer:
Greatest Common Factor of 1492 and 1500 = 4
Step 1: Find the prime factorization of 1492
1492 = 2 x 2 x 373
Step 2: Find the prime factorization of 1500
1500 = 2 x 2 x 3 x 5 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1492 and 1500 is 4